Binomial Theorem Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Binomial Theorem class 11 MCQ which will help them all through their board test.

## Binomial Theorem Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 8 Binomial Theorem. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Binomial Theorem Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Binomial Theorem MCQ with answers given below.

**Question 1. The coefficient of xk in the expansion of A = 1 + (1 + x) + (1 + x) ^{2} + …. + (1 + x)n is :**

(a)

^{n}C

_{k}

(b)

^{n+1}C

_{k}

(c)

^{n+1}C

_{k–1}

(d) none of these

**Answer : D**

**Question 2. What is the coefficient of x ^{3} in (3 2x) / (1 3x)^{3}**

(a) – 272

(b) – 540

(c) – 870

(d) – 918

**Answer : D**

**Question 3. In the expansion of (1 + x)50, the sum of the coefficients of odd powers of x is :**

(a) 0

(b) 249

(c) 250

(d) 251

**Answer : B**

**Question 4. 5 [( √5 +1) ^{50} – (√5 –1)^{50} ] is**

(a) an irrational number

(b) 0

(c) a natural number

(d) None of these

**Answer : C****Question 5. The minimum positive integral value of m such that (1073) ^{71} – m may be divisible by 10, is**

(a) 1

(b) 3

(c) 7

(d) 9

**Click for Answer**

C

**Question 6. The number of dissimilar terms in the expansion of **

(a + b – c)^{2n-1} – (a + b + c)^{2n+1}is

(a) (n+1)^{2}

(b) (n-1)^{2}

(c) 4n^{2-1}

(d) None of these

**Answer : A**

**Question 7. The total number of terms in the expansion of (x + a) ^{100} + (x – a) ^{100} after simplification will be **

(a) 202

(b) 51

(c) 50

(d) None of these

**Answer : B**

**Question 8. If A and B are coefficients of x ^{n} in the expansion of (1+ x)^{2n} and (1+ x)^{2n –1} then :**

(a) A = B

(b) 2A = B

(c) A = 2B

(d) AB = 2

**Answer : C****Question 9. In the expansion of (1 + x) ^{n}, the binomial coefficients of three consecutive terms are respectively 220, 495 and 792. The value of n is:**

(a) 10

(b) 11

(c) 12

(d) 13

**Click for Answer**

C

**Question 10. If x is positive, the first negative term in the expansion of (1+ x)27 5 is**

(a) 6th term

(b) 7th term

(c) 5th term

(d) 8th term

**Answer : D**

**Question 11. If (1+ax)n = 1 + 8x + 24x ^{2} … , then the values of a and n are **

(a) 2, 4

(b) 2, 3

(c) 3, 6

(d) 1, 2

**Answer : A**

**Question 12. By using the first three terms of its expansion , the approximate value of (0.99) ^{5} is **

(a) 0.949

(b) 0.951

(c) 0.954

(d) None of these

**Answer : B**

**Question 13. If in the expansion of (2 ^{x} + 1/4^{x})n , T3 = 7T2 and sum of the binomial coefficients of second and third terms is 36, then the value of x is –**

(a) –1/3

(b) – 1/2

(c) 1/3

(d) 1/2

**Answer : A**

**Question 14. The coefficient of the middle term in the binomial expansion in powers of x of (1+ ax)4 and of (1- ax)6 is the same if a equals**

(a) 3/5

(b) 10/3

(c) -3/10

(d) -5/3

**Click for Answer**

C

**Question 15. (√2 +√1)6 – (√2 – 1)6 is equal to **

(a) 101

(b) 70√2

(c) 140√2

(d) 120√2

**Answer : C**

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Binomial Theorem Class 11 MCQ are ready by the subject specialists themselves.

**Question 16. If the coefficient of rth, (r+1)th and (r+2) ^{th} term in the expansion of (1 +X )^{14} are in AP, then the value of r is **

(a) 5 or 8

(b) 4 or 9

(c) 5 or 9

(d) 6 or 7

**Answer : C**

**Question 17. If ‘n’ is positive integer and three consecutive co-efficient in the expansion of (1 + x)n are in the ratio 6 : 33 : 110, then n is equal to :**

(a) 9

(b) 6

(c) 12

(d) 16

**Answer : C**

**Question 18. The remainder left out when 8 ^{2n} – (62)^{2n+1} is divided by 9 is :**

(a) 2

(b) 7

(c) 8

(d) 0

**Answer : A**

**Question 19. (1 + √2 x ^{2})^{9} – 1 – 9√2 x^{2} – 70x^{4} is divisible by**

(a) x

^{6}

(b) x

^{8}

(c) x

^{10}

(d) none of these

**Click for Answer**

D

**Question 20. The number of terms which are free from radical signs in the expansion of ( y ^{1/5} + x^{1/10})55 is **

(a) 5

(b) 6

(c) 7

(d) 4

**Answer : B**

**Question 21. C _{1} + 2C_{2} + 3C_{3} +……+nCn is equal to **

(a) (n-1 )

^{2n-1}

(b) n2

^{n-1}

(c) n2

^{n}

(d) n2

^{n-2}

**Answer : B**

**Question 22. For all n ∈ N, 2 ^{4n} – 15n – 1 is divisible by **

(a) 225

(b) 125

(c) 325

(d) None of these

**Answer : A**

**Question 23. If (r+1) th term is the first negative term in the expansion of (1+X) ^{7/2 }then the value of r is **

(a) 5

(b) 6

(c) 4

(d) 7

**Click for Answer**

A

**Question 24. The approximate value of( 7.995 )1/3 correct to four decimal places is **

(a) 1.9995

(b) 1.9996

(c) 1.9990

(d) 1.9991

**Answer : B**

**Question 25. The value of (1.002) ^{12} upto fourth place of decimal is **

(a) 1.0242

(b) 1.0245

(c) 1.0004

(d) 1.0254

**Answer : A**

**Question 26. If x = 9950 + 10050 and y = (101)50 then**

(a) x = y

(b) x < y

(c) x > y

(d) None of these

**Answer : B****Question 27. If the third term in the expansion of [x + xlog10x ]5 is 106, then x may be**

(a) 1

(b) √10

(c) 10

(d) 10^{-2 / 5}

**Answer : C****Question 28. If 7 ^{9} + 9^{7} is divided by 64 then the remainder is**

(a) 0

(b) 1

(c) 2

(d) 63

**Answer : A****Question 29. The number of term in the expansion of**

[(x + 4y)^{3} (x – 4y)^{3}]^{2} is

(a) 6

(b) 7

(c) 8

(d) 32

**Answer : B**

**Question 30. The value of (1.0025)10 correct to five decimal places is **

(a) 1.025281

(b) 1.034285

(c) 1.005293

(d) None of these

**Click for Answer**

A

You can easily get good marks If you study with the help of Class 11 Binomial Theorem MCQ. We trust that information provided is useful for you. NCERT MCQ Questions for Class 11 Binomial Theorem PDF Free Download would without a doubt create positive results.

We hope the information shared above in regards to MCQ on Binomial Theorem Class 11 with Answers has been helpful to you. If you have any questions regarding CBSE Class 11 Mathematics Solutions MCQs Pdf, write a comment below and we will get back to you as soon as possible.

### Frequently Asked Question (FAQs)

## How many MCQ questions are there in Class 11 Chapter 8 Mathematics?

In Class 11 Chapter 8 Mathematics, we have provided 30 Important MCQ Questions, But in the future, we will add more MCQs so that you can get good marks in the Class 11 exam.

## Can we score good marks in Class 11 Mathematics with the help of Binomial Theorem MCQ Questions?

Yes, MCQ Question is one of the best strategies to make your preparation better for the CBSE Board Exam. It also helps to know the student’s basic understanding of each Chapter. So, You can score good marks in the Class 9 Mathematics exam.